Atkin-Lehner |
3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74415m |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
17729280 |
Modular degree for the optimal curve |
Δ |
4.1145893663406E+23 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 11- 4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-57314110,-164152063586] |
[a1,a2,a3,a4,a6] |
Generators |
[-4789:22687:1] |
Generators of the group modulo torsion |
j |
11753095563136304459776/232257843017578125 |
j-invariant |
L |
4.7792906990384 |
L(r)(E,1)/r! |
Ω |
0.054935827103296 |
Real period |
R |
0.38156886704735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6765g1 |
Quadratic twists by: -11 |